Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response

Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response

An impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient...

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Main Authors: Xiangmin Ma, Yuanfu Shao, Zhen Wang, Xianjia Fang, Zhenguo Luo
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/864367
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spelling doaj-876e1eb2c2f847ec80cdb465a2ec5fad2020-11-24T23:22:20ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/864367864367Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional ResponseXiangmin Ma0Yuanfu Shao1Zhen Wang2Xianjia Fang3Zhenguo Luo4School of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaAn impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient conditions for the permanence of this system are established via impulsive differential comparison theorem. Furthermore, abundant results of numerical simulations are given by choosing two different and concrete functional responses, which indicate that impulsive effects, stage-structure, and functional responses are vital to the dynamical properties of this system. Finally, the biological meanings of the main results and some control strategies are given.http://dx.doi.org/10.1155/2015/864367
collection DOAJ
language English
format Article
sources DOAJ
author Xiangmin Ma
Yuanfu Shao
Zhen Wang
Xianjia Fang
Zhenguo Luo
spellingShingle Xiangmin Ma
Yuanfu Shao
Zhen Wang
Xianjia Fang
Zhenguo Luo
Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
Discrete Dynamics in Nature and Society
author_facet Xiangmin Ma
Yuanfu Shao
Zhen Wang
Xianjia Fang
Zhenguo Luo
author_sort Xiangmin Ma
title Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
title_short Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
title_full Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
title_fullStr Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
title_full_unstemmed Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
title_sort analysis of an impulsive one-predator and two-prey system with stage-structure and generalized functional response
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2015-01-01
description An impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient conditions for the permanence of this system are established via impulsive differential comparison theorem. Furthermore, abundant results of numerical simulations are given by choosing two different and concrete functional responses, which indicate that impulsive effects, stage-structure, and functional responses are vital to the dynamical properties of this system. Finally, the biological meanings of the main results and some control strategies are given.
url http://dx.doi.org/10.1155/2015/864367
work_keys_str_mv AT xiangminma analysisofanimpulsiveonepredatorandtwopreysystemwithstagestructureandgeneralizedfunctionalresponse
AT yuanfushao analysisofanimpulsiveonepredatorandtwopreysystemwithstagestructureandgeneralizedfunctionalresponse
AT zhenwang analysisofanimpulsiveonepredatorandtwopreysystemwithstagestructureandgeneralizedfunctionalresponse
AT xianjiafang analysisofanimpulsiveonepredatorandtwopreysystemwithstagestructureandgeneralizedfunctionalresponse
AT zhenguoluo analysisofanimpulsiveonepredatorandtwopreysystemwithstagestructureandgeneralizedfunctionalresponse
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